Pre-Algebra Examples

$\frac{6 x}{x^{2} - 8 x} + \frac{4}{2 x - 16}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Factor $x$ out of $x^{2} - 8 x$ .

Tap for more steps...

Step 1.1.1

Factor $x$ out of $x^{2}$ .

$\frac{6 x}{x \cdot x - 8 x} + \frac{4}{2 x - 16}$

Step 1.1.2

Factor $x$ out of $- 8 x$ .

$\frac{6 x}{x \cdot x + x \cdot - 8} + \frac{4}{2 x - 16}$

Step 1.1.3

Factor $x$ out of $x \cdot x + x \cdot - 8$ .

$\frac{6 x}{x (x - 8)} + \frac{4}{2 x - 16}$

Step 1.2

Cancel the common factor of $x$ .

Tap for more steps...

Step 1.2.1

Cancel the common factor.

$\frac{6 x}{x (x - 8)} + \frac{4}{2 x - 16}$

Step 1.2.2

Rewrite the expression.

$\frac{6}{x - 8} + \frac{4}{2 x - 16}$

Step 1.3

Cancel the common factor of $4$ and $2 x - 16$ .

Tap for more steps...

Step 1.3.1

Factor $2$ out of $4$ .

$\frac{6}{x - 8} + \frac{2 \cdot 2}{2 x - 16}$

Step 1.3.2

Cancel the common factors.

Tap for more steps...

Step 1.3.2.1

Factor $2$ out of $2 x$ .

$\frac{6}{x - 8} + \frac{2 \cdot 2}{2 (x) - 16}$

Step 1.3.2.2

Factor $2$ out of $- 16$ .

$\frac{6}{x - 8} + \frac{2 \cdot 2}{2 (x) + 2 (- 8)}$

Step 1.3.2.3

Factor $2$ out of $2 (x) + 2 (- 8)$ .

$\frac{6}{x - 8} + \frac{2 \cdot 2}{2 (x - 8)}$

Step 1.3.2.4

Cancel the common factor.

$\frac{6}{x - 8} + \frac{2 \cdot 2}{2 (x - 8)}$

Step 1.3.2.5

Rewrite the expression.

$\frac{6}{x - 8} + \frac{2}{x - 8}$

Step 2

Combine fractions.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$\frac{6 + 2}{x - 8}$

Step 2.2

Add $6$ and $2$ .

$\frac{8}{x - 8}$